52484800528160 has 192 divisors, whose sum is σ = 166483255889664. Its totient is φ = 15100521984000.

The previous prime is 52484800528141. The next prime is 52484800528169. The reversal of 52484800528160 is 6182500848425.

It is a happy number.

52484800528160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (52484800528169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163690991 + ... + 164011310.

It is an arithmetic number, because the mean of its divisors is an integer number (867100291092).

Almost surely, 2^{52484800528160} is an apocalyptic number.

It is an amenable number.

52484800528160 is an abundant number, since it is smaller than the sum of its proper divisors (113998455361504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52484800528160 is a wasteful number, since it uses less digits than its factorization.

52484800528160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327702347 (or 327702339 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 53.

The spelling of 52484800528160 in words is "fifty-two trillion, four hundred eighty-four billion, eight hundred million, five hundred twenty-eight thousand, one hundred sixty".